https://file.aiquickdraw.com/mathbot/file/1727193937686j4tme0z3.jpg

The equation from the image is:

\[
3(2d - 1) - 2d = 4(d - 2) + 5
\]

### Let's solve it step by step:

1. **Expand both sides**:

\[
3(2d - 1) - 2d = 4(d - 2) + 5
\]
\[
6d - 3 - 2d = 4d - 8 + 5
\]

2. **Simplify the terms**:

On the left side:
\[
6d - 2d - 3 = 4d - 8 + 5
\]
\[
4d - 3 = 4d - 3
\]

3. **Subtract \(4d\) from both sides**:

\[
4d - 3 - 4d = 4d - 3 - 4d
\]
\[
-3 = -3
\]

### Conclusion:
This equation simplifies to a true statement, \(-3 = -3\), which means that the equation holds for all values of \(d\). Therefore, the solution is **all real numbers**.

Would you like more details, or do you have any questions?

### Related Questions:
1. What are examples of equations that lead to no solutions?
2. How do you distinguish between an equation with no solution and one with infinite solutions?
3. How do you solve linear equations with variables on both sides?
4. Can an equation have a unique solution, no solution, and infinitely many solutions?
5. What happens when you subtract identical terms from both sides of an equation?

**Tip**: When an equation simplifies to a true statement like \(0 = 0\) or \(-3 = -3\), it means the equation holds for all real numbers.

Solve the equation 3(2d - 1) - 2d = 4(d - 2) + 5

Learn how to solve the linear equation 3(2d - 1) - 2d = 4(d - 2) + 5. This step-by-step solution expands both sides, simplifies terms, and concludes with an equation that holds for all real numbers. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation